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Finding the Fourth Proportional to 12,733.86, 17,572.57 and 7,068.65

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Solution

The fourth proportional to 12,733.86, 17,572.57 and 7,068.65 is: 9,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.86 : 17,572.57 = 7,068.65 : x
  2. Step 2: Convert to fraction form
    12,733.86/17,572.57 = 7,068.65/x
  3. Step 3: Cross multiply
    12,733.86x = 17,572.57 × 7,068.65
  4. Step 4: Simplify right side
    12,733.86x = 124,214,360.12
  5. Step 5: Solve for x
    x = 124,214,360.12/12,733.86
  6. Step 6: Final answer
    x = 9,754.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.